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Dominik [7]
3 years ago
6

How much will be the amount after 29 years to the nearest cent

Mathematics
1 answer:
babymother [125]3 years ago
7 0
P= 7800
R= 6.5
T=29

Interest = 7800 x .065 x 29
Interest = 14,703

14,703 + 7800 = 22,503.00
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Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
Let f(x)=2x+3 and g(x)=x×x-1<br>find a. f(g(x)) b.g(f(x))<br><br>​
Talja [164]

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

f(g(x)) = 2(x^2-1)+3

f(g(x))= 2x^2-2+3

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

g(f(x) = (2x+3)^2-1

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

5 0
2 years ago
If (x+8) is a factor of f(x)
Mamont248 [21]
Just o be sure you are asking what (X) equals
5 0
3 years ago
Read 2 more answers
Find the distance between the following points: (0,0,0) and (-2,6,3)
marusya05 [52]

9514 1404 393

Answer:

  3.  7

Step-by-step explanation:

The distance formula applies in 3 dimensions as well as 2.

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

  d = √((-2)² +6² +3²) = √(4 +36 +9) = √49

  d = 7

The distance between the two points is 7 units.

6 0
2 years ago
What is the value of x ​
GarryVolchara [31]
<h2><u>We can solve it using trigonometric values.</u></h2>

<h3>So , <u> </u><u>sin</u><u> </u><u>θ</u><u> </u> = ( Perpendicular / Hypotenuese )</h3>

<h2><u>Given</u><u> </u></h2>

Perpendicular = x

Hypotenuese = 30

{ \sf{sin \:  \: 45 {}^{ \degree}   = \dfrac{1}{ \sqrt{2}  }  =  \dfrac{x}{ 30} }}

{ \sf{x =  \dfrac{30}{ \sqrt{2} } }}

<h2>∴ x ( Perpendicular)= 15√2 <u>Ans</u><u>.</u></h2>
3 0
3 years ago
Read 2 more answers
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